A clerk records a geometric progression: 2, 6, 18, … What is the 6th term of this sequence?
एक क्लर्क एक गुणोत्तर श्रेढ़ी (Geometric Progression) रिकॉर्ड करता है: 2, 6, 18, … इस अनुक्रम का छठा पद क्या है?
Answer और ExplanationAnswer and explanation
Answer: (B) 486
गुणोत्तर श्रेणी (GP) है 2, 6, 18, …
a = 2, r = 62 = 3, n = 6
T6 = ar5 = 2 × 35 = 2 × 243 = 486
✓
छठा पद 486 है।
The GP is 2, 6, 18, …
a = 2, r = 62 = 3, n = 6
T6 = ar5 = 2 × 35 = 2 × 243 = 486
✓
The 6th term is 486.
SMART APPROACH
बस 3 से गुणा करते जाओ: 2, 6, 18, 54, 162, 486। विकल्प 162 पाँचवाँ पद (Term) है — एक कदम पहले रुक जाने वालों के लिए जाल।
Just keep multiplying by 3: 2, 6, 18, 54, 162, 486. The option 162 is the 5th term — the trap for those who stop one step early.
Source: DP AWO/TPO · 21 Jan 2026 · Shift 1। Solution: Prashant Sir, Vijayastra।Source: DP AWO/TPO · 21 Jan 2026 · Shift 1. Solution by Prashant Sir, from Vijayastra.